Title
Positive dimensional parametric polynomial systems, connectivity queries and applications in robotics
Abstract
In this paper we introduce methods and algorithms that will help us solve connectivity queries of parameterized semi-algebraic sets. Answering these connectivity queries is applied in the design of robotic structures having similar kinematic properties (e.g. topology of the kinematic-singularity-free space). From these algorithms one also obtain solutions to connectivity queries of a specific parameter which is in turn related to kinematic-singularity free path-planning of a specific manipulator belonging to the family of robots with these properties; i.e. we obtain paths joining two given singularity free configurations lying in the same connected component of the singularity-free space.
Year
DOI
Venue
2023
10.1016/j.jsc.2022.08.008
Journal of Symbolic Computation
Keywords
DocType
Volume
Polynomial systems,Semi-algebraic sets,Roadmaps,Kinematic singularity
Journal
115
ISSN
Citations 
PageRank 
0747-7171
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Jose Capco100.34
Mohab Safey El Din245035.64
Josef Schicho300.34